60=-2(21-z)+4(z-3)

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Solution for 60=-2(21-z)+4(z-3) equation:


Simplifying
60 = -2(21 + -1z) + 4(z + -3)
60 = (21 * -2 + -1z * -2) + 4(z + -3)
60 = (-42 + 2z) + 4(z + -3)

Reorder the terms:
60 = -42 + 2z + 4(-3 + z)
60 = -42 + 2z + (-3 * 4 + z * 4)
60 = -42 + 2z + (-12 + 4z)

Reorder the terms:
60 = -42 + -12 + 2z + 4z

Combine like terms: -42 + -12 = -54
60 = -54 + 2z + 4z

Combine like terms: 2z + 4z = 6z
60 = -54 + 6z

Solving
60 = -54 + 6z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-6z' to each side of the equation.
60 + -6z = -54 + 6z + -6z

Combine like terms: 6z + -6z = 0
60 + -6z = -54 + 0
60 + -6z = -54

Add '-60' to each side of the equation.
60 + -60 + -6z = -54 + -60

Combine like terms: 60 + -60 = 0
0 + -6z = -54 + -60
-6z = -54 + -60

Combine like terms: -54 + -60 = -114
-6z = -114

Divide each side by '-6'.
z = 19

Simplifying
z = 19

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